Exam 6: Categorical Logic: Syllogisms

Identify the Venn diagram representation of the following syllogism: All minerals are rocks. All diamonds are rocks. So, all minerals are diamonds.

The following categorical argument form has more than three terms: "No non-P are non-M. Some M are non-S. So, some S are P." Reduce the terms to three by removing term-complements via applications of conversion, obversion, and/or contraposition.

Two different categorical syllogisms cannot have the same mood and figure.

Put the following categorical syllogism into standard form and identify its mood and figure. Since no hobbits are grand wizards and some grand wizards are members of the Circle of Seven, it follows that some members of the Circle of Seven are not hobbits.

Identify the Venn diagram representation of the following syllogism: Some violinists are percussionists. Some trombonists are percussionists. So, some trombonists are violinists.

Which of the following relations on the Square of Opposition is valid, according to modern categorical logic?

Put the following categorical syllogism into standard form and identify its mood and figure. Some shuttle-craft are not ships with shields because some scientific vessels are shuttle-craft and some scientific vessels are not ships with shields.

Rewrite the following argument as a standard-form categorical syllogism; then identify its mood and figure: Some Swedish water volleyball team members are not beer drinkers, because some molecular biologists are Swedish water volleyball team members and some molecular biologists are not beer drinkers.

Put the following categorical syllogism into standard form and identify its mood and figure. All criminal actions are wicked deeds. All prosecutions for murder are criminal actions. Thus, all prosecutions for murder are wicked deeds.

Rewrite the following argument as a standard-form categorical syllogism; then identify its mood and figure: No coal tar derivatives are nourishing foods, because all artificial dyes are coal tar derivatives and no artificial dyes are nourishing foods.

Put the following categorical syllogism into standard form and identify its mood and figure. Because some Makhi are Lieutenants in the Federation and no criminals are Makhi, some Lieutenants in the Federation are not criminals.

Identify the Venn diagram representation of the following syllogism: Some ultraviolet radiation is not harmful to humans. All ultraviolet radiation is a carcinogen. So, some carcinogens are not harmful to humans.

Which fallacy is committed by the following categorical syllogism? All cats are soft and furry animals. Some amphibians are not soft and furry animals. So, no cats are amphibians.

Which of the five rules for evaluating syllogisms can you use to determine whether the following form is valid? All P are M. Some S are M. So, some S are not P.

In a valid standard-form categorical syllogism, the middle term must be distributed in at least one premise.

Identify the mood and figure of this standard-form categorical syllogism: All excellent teachers are people who care about students. All University 101 instructors are people who care about students. So, all University 101 instructors are excellent teachers.

When an area of a Venn diagram is shaded, it indicates that there is at least one thing in that area.

Any categorical syllogism with two negative premises is invalid.

Which of the five rules for evaluating syllogisms can you use to determine whether the following form is valid? No M are P. No S are M. All S are P.

Identify the missing step in the following argument (remember the principles of charity and fairness! ). Then put the argument into standard form. To cut down on writing, use capital letters to abbreviate English terms. All psychics are frauds, because all psychics are people who make false claims about their abilities.